Constant Rate of Change and Proportionality

Formulate the equation for the table given.

• y = 1/3x

• y = 3x

• y = 1/2x

Calculate the rate of change.

• 1

• 2

• 11

• Not a constant slope/Non-Linear

Describe the characteristics of a graph that is proportional?

• Linear

• The line goes through the origin

• Curvy line

• Linear and the line goes through the origin

Which company shows a greater rate of change?

• Water's Edge Rafts

• Ryan's Rafts

Analyze the point (3, 27). What does the point represent? 

• The point (3,27) represents 27 shirts for $3. 

• The point (3,27) represents $27 for 3 shirts. 

Identify the constant of proportionality.

• k = 2x

• k = 2

• k = 4

• none (not proportional)

What is the constant of proportionality in the equation 2y = 4x?

• 4

• 2

y=kx.  What does the k represent?

• constant of proportionality

• multiplier

• scale factor

• all of these are correct

For the equation: k=y/x, the variable k is called the...

• Constant, and it represents the constant rate of change or constant ratio between x and y

• Variable, and it represents the constant rate of change or constant ratio between x and y

• x factor, and it represents the constant rate of change or constant ratio between x and y

• y factor, and it represents the constant rate of change or constant ratio between x and y

A proportional relationship can be written as an equation in the form ____ = _____  _____

• y = k+x

• y = k-x

• y = kx

• y = k/x